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Finding the Fourth Proportional to 3,023.82, 4,535.78 and 943.74

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Solution

The fourth proportional to 3,023.82, 4,535.78 and 943.74 is: 1,415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.82 : 4,535.78 = 943.74 : x
  2. Step 2: Convert to fraction form
    3,023.82/4,535.78 = 943.74/x
  3. Step 3: Cross multiply
    3,023.82x = 4,535.78 × 943.74
  4. Step 4: Simplify right side
    3,023.82x = 4,280,592.30
  5. Step 5: Solve for x
    x = 4,280,592.30/3,023.82
  6. Step 6: Final answer
    x = 1,415.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.